Xiangyong Zeng

On the differential spectrum of a class of power functions over finite fields

2020 · arXiv (Cornell University)

Differential uniformity is a significant concept in cryptography as it quantifies the degree of security of S-boxes respect to differential attacks. Power functions of the form $F(x)=x^d$ with low differential uniformity have been extensively studied …

New Constructions of Optimal Linear Codes From Simplicial Complexes

2023 · IEEE Transactions on Information Theory

In this paper, we construct a large family of projective linear codes over${\mathbb F}_{q}$from the general simplicial complexes of${\mathbb F}_{q}^{m}$via the defining-set construction, which generalizes the results of [IEEE Trans. Inf. Theory 66(11):6762-6773, 2020]. The …